Evaluate the Discriminant for the Equation $t ^ { 2 } + 12 t + 36 = 0$

question 31

Multiple Choice

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are
rational, irrational, or nonreal complex.
- $t ^ { 2 } + 12 t + 36 = 0$

• A) Two distinct irrational solutions
• B) Two distinct nonreal complex solutions
• C) One rational solution (a double solution)
• D) Two distinct rational solutions

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Definitions:

Analyzing

The process of examining data or information to understand and interpret patterns, trends, or relationships.

Factory Overhead

The indirect costs associated with manufacturing, which include expenses such as utilities, maintenance, and depreciation of equipment.

Depreciation

The process of allocating the cost of a tangible asset over its useful life.

Payback Period

The length of time it takes for an investment to generate enough cash flow to recover its initial outlay.